Reynolds equations for common generalized Newtonian models and an approximate Reynolds-Carreau equation

被引：13

作者：

Bair, S. ^{[1
]}

Khonsari, M. M.

机构：

[1] Georgia Inst Technol, George W Woodruff Sch Mech Engn, Atlanta, GA 30332 USA

[2] Louisiana State Univ, Dept Mech Engn, Baton Rouge, LA 70803 USA

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART J-JOURNAL OF ENGINEERING TRIBOLOGY | 2006年 / 220卷 / J4期

关键词：

Reynolds equation; shear thinning; elastohydrodynamics; hydrodynamic lubrication; film thickness; generalized Newtonian models;

D O I：

10.1243/13506501JET79

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Exact, closed-form, one-dimensional Reynolds equations are presented for the Ostwald-DeWaele model, the Ellis model, the Spriggs model, and the double-Newtonian Rabinowitsch and Ferry models. From numerical solutions for flowrate, an approximate Reynolds- Carreau equation is obtained. These models describe the wide range of constitutive shear responses that have been observed in lubricants at elevated pressure. It is hoped that the equations presented here will enable researchers to perform full elastohydrodynamic lubrication (EHL) simulations of the coupled elasticity and Reynolds equations for shear-thinning liquids.

引用

页码：365 / 374

页数：10

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